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What is the Least Common Multiple of 46005 and 46017?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 46005 and 46017 is 705670695.

LCM(46005,46017) = 705670695

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Least Common Multiple of 46005 and 46017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46005 and 46017, than apply into the LCM equation.

GCF(46005,46017) = 3
LCM(46005,46017) = ( 46005 × 46017) / 3
LCM(46005,46017) = 2117012085 / 3
LCM(46005,46017) = 705670695

Least Common Multiple (LCM) of 46005 and 46017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46005 and 46017. First we will calculate the prime factors of 46005 and 46017.

Prime Factorization of 46005

Prime factors of 46005 are 3, 5, 3067. Prime factorization of 46005 in exponential form is:

46005 = 31 × 51 × 30671

Prime Factorization of 46017

Prime factors of 46017 are 3, 5113. Prime factorization of 46017 in exponential form is:

46017 = 32 × 51131

Now multiplying the highest exponent prime factors to calculate the LCM of 46005 and 46017.

LCM(46005,46017) = 32 × 51 × 30671 × 51131
LCM(46005,46017) = 705670695